331132213010032 has 160 divisors (see below), whose sum is σ = 752319772452864. Its totient is φ = 138247048704000.

The previous prime is 331132213010021. The next prime is 331132213010107. The reversal of 331132213010032 is 230010312231133.

It is a junction number, because it is equal to n+sod(n) for n = 331132213009979 and 331132213010006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972938163 + ... + 973278445.

Almost surely, 2^{331132213010032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132213010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376159886226432).

331132213010032 is an abundant number, since it is smaller than the sum of its proper divisors (421187559442832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331132213010032 is a wasteful number, since it uses less digits than its factorization.

331132213010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341207 (or 341201 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 331132213010032 its reverse (230010312231133), we get a palindrome (561142525241165).

The spelling of 331132213010032 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred thirteen million, ten thousand, thirty-two".